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Finding the Fourth Proportional to 842.11, 1,162.16 and 469.08

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Solution

The fourth proportional to 842.11, 1,162.16 and 469.08 is: 647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.11 : 1,162.16 = 469.08 : x
  2. Step 2: Convert to fraction form
    842.11/1,162.16 = 469.08/x
  3. Step 3: Cross multiply
    842.11x = 1,162.16 × 469.08
  4. Step 4: Simplify right side
    842.11x = 545,146.01
  5. Step 5: Solve for x
    x = 545,146.01/842.11
  6. Step 6: Final answer
    x = 647.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.